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Abstract:The two variable ( ⁄ , 1 ⁄ )-expansion method is significant for finding the exact traveling wave solution to nonlinear evolution equations (NLEEs) in mathematical physics, applied mathematics and engineering. In this article, we exert the two variable ( ⁄ , 1 ⁄ )-expansion method for investigating the fractional generalized reaction Duffing model and density dependent fractional diffusion reaction equation and obtain exact solutions containing parameters. When the parameters are taken particular values, traveling wave solutions are transferred into the solitary wave solutions. The two variable ( ′ ⁄ , 1 ⁄ )-expansion method is the generalization of the original ( ⁄ )-expansion method established by Wang et al [21].

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